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1 year ago

13

What does x equal in 5x + 15 = 28

1 answer:

Minchanka [31]1 year ago

8 0

Answer: 2.6

Step-by-step explanation:

28-15=13

13/5=2.6

Good luck! :)

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Evaluate the following pic

GREYUIT [131]

Answer:

1) $\sqrt{1225}+\sqrt{1024}=67$

2) $\sqrt[3]{-1331}=-11$

3) Evaluating $2:p :: p:8$ we get $p=\pm 4$

4) $x^3+y^2+z \ when \ x=3, y=-2, x=-6 \ we \ get \ \mathbf{25}$

5) $\frac{(-6)^4\times(-2)^3\times(3)^3}{(-6)^6}=-6$

Step-by-step explanation:

1) $\sqrt{1225}+\sqrt{1024}$

Prime factors of 1225 : 5x5x7x7

Prime factors of 1024: 2x2x2x2x2x2x2x2x2x2

$\sqrt{1225}+\sqrt{1024}\\=\sqrt{5\times5\times7\times7}+\sqrt{2\times2\times2\times2\times2\times2\times2\times2\times2\times2}\\=\sqrt{5^2\times7^2}+\sqrt{2^2\times2^2\times2^2\times2^2\times2^2}\\=5\times7+(2\times2\times2\times2\times2)\\=35+32\\=67$

$\sqrt{1225}+\sqrt{1024}=67$

2) $\sqrt[3]{-1331}$

We know that $\sqrt[n]{-x}=-\sqrt[n]{x} \ ( \ if \ n \ is \ odd)$

Applying radical rule:

$\sqrt[3]{-1331}\\=-\sqrt[3]{1331} \\=-\sqrt[3]{11\times\11\times11}\\=-\sqrt[3]{11^3} \\Using \ \sqrt[n]{x^n}=x \\=-11$

So, $\sqrt[3]{-1331}=-11$

3) $2:p :: p:8$

It can be written as:

$p*p=2*8\\p^2=16\\Taking \ square \ root \ on \ both \ sides\\\sqrt{p^2}=\sqrt{16}\\p=\pm 4$

Evaluating $2:p :: p:8$ we get $p=\pm 4$

4) $x^3+y^2+z \ when \ x=3, y=-2, x=-6$

Put value of x, y and z in equation and solve:

$x^3+y^2+z \\=(3)^3+(-2)^2+(-6)\\=27+4-6\\=25$

So, $x^3+y^2+z \ when \ x=3, y=-2, x=-6 \ we \ get \ \mathbf{25}$

5) $\frac{(-6)^4\times(-2)^3\times(3)^3}{(-6)^6}$

We know (-a)^n = (a)^n when n is even and (-a)^n = (-a)^n when n is odd

$\frac{(-6)^4\times(-2)^3\times(3)^3}{(-6)^6}\\\\=\frac{1296\times-8\times 27}{46656}\\\\=\frac{-279936}{46656} \\\\=-6$

So, $\frac{(-6)^4\times(-2)^3\times(3)^3}{(-6)^6}=-6$

8 0

2 years ago

Find the radius of a sphere with a volume of 26, 2440 cubic inches

ehidna [41]

Answer:

8.7304 x 1010

Step-by-step explanation:

I think its that >_<

The last 10 is supposed to be on top to the right of the 10

4 0

2 years ago

How do i find the answer of this math question or problem f(x) = 4x − 9?

Mademuasel [1]

Answer:

x = 9/4

Step-by-step explanation:

f(x) = 4x - 9

(first substitute f(x) with 0)

0 = 4× - 9

(Move four)

-4x = -9

=> x = -9/-4

= 9/4

6 0

1 year ago

Each week, Steven gets an allowance of $8 plus $3 for each chore he does. His younger sister Jill gets an allowance of $6 plus $

olasank [31]

Answer:

23

Step-by-step explanation:

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2 years ago

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What is the temperature, in degrees Fahrenheit, shown on the thermometer to the nearest integer? Enter your integer answer in th

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It’s negative 4 because the scale shows there is 4 lines

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1 year ago